Question

If points A, C, and N are colinear points with A in between C and N, then select all that are true below. Points are taken off for incorrect choices. Choose wisely. (Hint: Make a quick sketch.)

a. True: ACN is a straight line.
b. True: AC + CN = AN
c. False: AC + AN = CN
d. True: CN > AC

Answer 1

In a colinear set of points with A in between C and N, the line formed by the three points is straight. The sum of AC and CN would be equal to AN, but AC + AN would not be equal to CN. CN is greater than AC.

Step-by-step explanation:

In a colinear set of points with A in between C and N, the line formed by the three points is straight. So, statement a is true.

The sum of AC and CN would be equal to AN, since all three points are on the same line. Therefore, statement b is true.

However, AC + AN would not be equal to CN, as AC + AN = AC + CN = AN, since all three points are collinear. Therefore, statement c is false.

Since AC is part of the line formed by the three points, CN must be greater than AC, so statement d is true.